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Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area Formula

GoSurface to Volume Ratio of Pentagonal Trapezohedron Formula

GoSurface to Volume Ratio of Pentagonal Trapezohedron given Short Edge Formula

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SA:V of Pentagonal Trapezohedron is the numerical ratio of the total surface area of a Pentagonal Trapezohedron to the volume of the Pentagonal Trapezohedron. Check FAQs

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot (\sqrt{\frac{TSA}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})}

AV - SA:V of Pentagonal Trapezohedron?TSA - Total Surface Area of Pentagonal Trapezohedron?

Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area Example

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Here is how the Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area equation looks like with Values.

Here is how the Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area equation looks like with Units.

Here is how the Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area equation looks like.

0.4362 = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot (\sqrt{\frac{950}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})}

0.4362m⁻¹ = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot (\sqrt{\frac{950m²}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})}

0.4362 = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot (\sqrt{\frac{950}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})}

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Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area?

FIRST Step Consider the formula

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot (\sqrt{\frac{TSA}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})}

Next Step Substitute values of Variables

∴

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot (\sqrt{\frac{950m²}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})}

Next Step Prepare to Evaluate

∴

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot (\sqrt{\frac{950}{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}})}

Next Step Evaluate

∴

AV = 0.436167850715156m⁻¹

LAST Step Rounding Answer

∴

AV = 0.4362m⁻¹

Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area Formula Elements

Variables

Functions

SA:V of Pentagonal Trapezohedron

SA:V of Pentagonal Trapezohedron is the numerical ratio of the total surface area of a Pentagonal Trapezohedron to the volume of the Pentagonal Trapezohedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Pentagonal Trapezohedron

Total Surface Area of Pentagonal Trapezohedron

Total Surface Area of Pentagonal Trapezohedron is the total quantity of two dimensional space enclosed on the entire surface of the Pentagonal Trapezohedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal Trapezohedron

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find SA:V of Pentagonal Trapezohedron

Go Surface to Volume Ratio of Pentagonal Trapezohedron

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot l e(Antiprism)}

Go Surface to Volume Ratio of Pentagonal Trapezohedron given Short Edge

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot (\frac{l e(Short)}{(\frac{\sqrt{5} - 1}{2})})}

Go Surface to Volume Ratio of Pentagonal Trapezohedron given Long Edge

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot (\frac{l e(Long)}{(\frac{\sqrt{5} + 1}{2})})}

Go Surface to Volume Ratio of Pentagonal Trapezohedron given Height

AV = \frac{(\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})})}{(\frac{5}{12}) \cdot (3 + \sqrt{5}) \cdot (\frac{h}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}

How to Evaluate Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area?

Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area evaluator uses SA:V of Pentagonal Trapezohedron = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5)))))))) to evaluate the SA:V of Pentagonal Trapezohedron, Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Pentagonal Trapezohedron to the volume of the Pentagonal Trapezohedron, calculated using its total surface area. SA:V of Pentagonal Trapezohedron is denoted by AV symbol.

How to evaluate Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area, enter Total Surface Area of Pentagonal Trapezohedron (TSA) and hit the calculate button.

FAQs on Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area

What is the formula to find Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area?

The formula of Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area is expressed as SA:V of Pentagonal Trapezohedron = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5)))))))). Here is an example- 0.436168 = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(sqrt(950/((sqrt((25/2)*(5+sqrt(5)))))))).

How to calculate Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area?

With Total Surface Area of Pentagonal Trapezohedron (TSA) we can find Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area using the formula - SA:V of Pentagonal Trapezohedron = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(sqrt(Total Surface Area of Pentagonal Trapezohedron/((sqrt((25/2)*(5+sqrt(5)))))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate SA:V of Pentagonal Trapezohedron?

Here are the different ways to Calculate SA:V of Pentagonal Trapezohedron-

SA:V of Pentagonal Trapezohedron=((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*Antiprism Edge Length of Pentagonal Trapezohedron)
SA:V of Pentagonal Trapezohedron=((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2))))
SA:V of Pentagonal Trapezohedron=((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2))))

Can the Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area be negative?

No, the Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area?

Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Pentagonal Trapezohedron given Total Surface Area can be measured.

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